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Finding the Fourth Proportional to 189,038.88, 283,599.84 and 55,908.76

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Solution

The fourth proportional to 189,038.88, 283,599.84 and 55,908.76 is: 83,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,038.88 : 283,599.84 = 55,908.76 : x
  2. Step 2: Convert to fraction form
    189,038.88/283,599.84 = 55,908.76/x
  3. Step 3: Cross multiply
    189,038.88x = 283,599.84 × 55,908.76
  4. Step 4: Simplify right side
    189,038.88x = 15,855,713,693.06
  5. Step 5: Solve for x
    x = 15,855,713,693.06/189,038.88
  6. Step 6: Final answer
    x = 83,875.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.